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most citedSWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies

227 citations · 589 across the 17 of their papers we have counts for

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math.NA2016★ 21 cited

Well-balanced finite difference WENO schemes for the blood flow model

Zhenzhen Wang, Gang Li, Olivier Delestre

The blood flow model maintains the steady state solutions, in which the flux gradients are non-zero but exactly balanced by the source term. In this paper, we design high order fin…

math.NA2016★ 4 cited

Use of 3D classified topographic data with FullSWOF for high resolution simulation of a river flood event over a dense urban area

Morgan Abily, Olivier Delestre, Laura Amossé +4

High resolution (infra-metric) topographic data, including photogram-metric born 3D classified data, are becoming commonly available at large range of spatial extend, such as munic…

math.NA2015

A shallow water with variable pressure model for blood flow simulation

Olivier Delestre, Arthur Ghigo, Jose-Maria Fullana +1

We performed numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruct…

math.NA2013★ 14 cited

FullSWOF_Paral: Comparison of two parallelization strategies (MPI and SKELGIS) on a software designed for hydrology applications

Stéphane Cordier, Hélène Coullon, Olivier Delestre +4

In this paper, we perform a comparison of two approaches for the parallelization of an existing, free software, FullSWOF 2D (http://www. univ-orleans.fr/mapmo/soft/FullSWOF/ that s…

math.NA2013★ 3 cited

Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow

Emmanuel Audusse, Olivier Delestre, Le Minh-Hoang +3

In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we apply to moving dunes test cases in one and two dimens…

math.NA2012★ 59 cited

A limitation of the hydrostatic reconstruction technique for Shallow Water equations

Olivier Delestre, Stéphane Cordier, Frédéric Darboux +1

Because of their capability to preserve steady-states, well-balanced schemes for Shallow Water equations are becoming popular. Among them, the hydrostatic reconstruction proposed i…

math.NA2012★ 65 cited

A "well-balanced" finite volume scheme for blood flow simulation

Olivier Delestre, Pierre-Yves Lagrée

We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the…

math.NA2012★ 2 cited

SWASHES: A library for benchmarking in hydraulics / SWASHES : une bibliothèque de bancs d'essai en hydraulique

Olivier Delestre, Carine Lucas, Pierre-Antoine Ksinant +4

Numerous codes are being developed to solve Shallow Water equations. Because they are used in hydraulics and environmental studies, their capability to simulate properly flow dynam…

math.NA2011★ 227 cited

SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies

Olivier Delestre, Carine Lucas, Pierre-Antoine Ksinant +5

Numerous codes are being developed to solve Shallow Water equations. Because there are used in hydraulic and environmental studies, their capability to simulate properly flow dynam…

math.NA2011★ 2 cited

A well-balanced finite volume scheme for 1D hemodynamic simulations

Olivier Delestre, Pierre-Yves Lagrée

We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent de…